contestada

Erica is studying two number patterns. Pattern A starts at 0 and has the rule "add 5." Pattern B starts at 0 and has the rule "add 10." What is the relationship between corresponding terms in the two patterns? The terms in Pattern B are 5 times the corresponding terms in Pattern A. The terms in Pattern B are 2 times the corresponding terms in Pattern A. The terms in Pattern B are one half the corresponding terms in Pattern A. The terms in Pattern B are one fifth the corresponding terms in Pattern A.

Respuesta :

MrRoyal

Answer:

The terms in Pattern B are 2 times the corresponding terms in Pattern A

Step-by-step explanation:

Given

Pattern A

[tex]Start = 0[/tex]

[tex]Rule: Add\ 5[/tex]

Pattern B

[tex]Start = 0[/tex]

[tex]Rule: Add\ 10[/tex]

Required

The relationship between both patterns

First, we calculate the nth term of both pattern.

For A

[tex]A(n) = Start + Rule[/tex]

[tex]A(n) = 0 + 5n[/tex]

[tex]A(n) = 5n[/tex]

For B

[tex]B(n) = Start + Rule[/tex]

[tex]B(n) = 0 + 10n[/tex]

[tex]B(n) = 10n[/tex]

So, we have:

[tex]A(n) = 5n[/tex]

[tex]B(n) = 10n[/tex]

B(n) can be expressed as:

[tex]B(n)=2* 5n[/tex]

Substitute [tex]A(n) = 5n[/tex]

[tex]B(n)=2* A(n)[/tex]

This means that the term of B(n) is twice the corresponding term of A(n)

Otras preguntas